Invariant Measures of Non-Uniformly Expanding Maps with Higher Order Critical Set
Dynamical Systems
2025-02-19 v2
Abstract
We prove existence and uniqueness of absolutely continuous invariant measures for generalizations of Viana maps admitting a higher order critical point introduced in arXiv:2312.00906. As a consequence of our approach, we obtain super-polynomial decay of correlations.
Keywords
Cite
@article{arxiv.2408.00121,
title = {Invariant Measures of Non-Uniformly Expanding Maps with Higher Order Critical Set},
author = {Ricardo Chicalé and Vanderlei Horita},
journal= {arXiv preprint arXiv:2408.00121},
year = {2025}
}